482950…: “Underneath the red home”

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Worked Out Examples Problem Videos

The following video may be helpful when trying to solve this example. Note that you may skip to the end of the video to get completion credit for this page if you don’t need to watch it.

Practice Problems: Logarithmic Differentiation

1 : Compute the derivative of $f(x) = \sage {p1fdisp}$ using logarithmic differentiation

$f'(x) = \answer {\sage {p1ans}}$

Remember the whole point of logarithmic differentiation is to take functions of large products and turn them into a bunch of sums and then use implicit differentiation to take a nicer derivative. But you need to account for the $\ln (y)$ on the left side of the equality from the implicit derivative. Also don’t forget about the chain rule when you take the derivatives!